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Circle Square (Posted on 2004-01-13) Difficulty: 2 of 5
In a square of side 4, I pack 4 circles of unit radius.

What's the largest circle I can fit into the center (such that it doesn't overlap the other circles)?

See The Solution Submitted by SilverKnight    
Rating: 2.3750 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: re: Please Note | Comment 10 of 15 |

Well, Richard, you can do this this with just one of the blue circles, too. Take the upper left one and set a 1x1 square around it. The diagonal (upper left corner to lower right corner) is clearly squareroot of 2. Subtract the unit 1 circle leaving the quarter red circle with its radius plus the same distance as that radius in the opposite corner. So, the radius = ((sqrt2)-1)/2.

Hugs. CeeAnne

Ps - And the reason I edited my Comment 8 subject titled Please Note was because the squareroot sign was corrupted.


  Posted by CeeAnne on 2004-10-20 02:30:00
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